All categories

3 years ago

Help please! This has to do with the Pythagorean theorem.

Mathematics

1 answer:

puteri [66]3 years ago

7 0

Answer:

x = 11.49

Step-by-step explanation:

Apply the pythagorean theorem to find x

Thus:

a² + b² = c²

Where,

a = x = ???

b = 8

c = 14 (hypotenuse)

Plug in the values

x² + 8² = 14²

x² + 64 = 196

x² = 196 - 64 (subtraction property of equality)

x² = 132

x = √132

x = 11.49 (approximated to nearest hundredth)

You might be interested in

What is the determinant of this matrix:

vodka [1.7K]

Answer:

-56

Step-by-step explanation:

Formula to get determinant is::

$\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc$

0(0)-8(7)

0 - 56

-56

6 0

2 years ago

Read 2 more answers

What fraction can not be simplified but has 24 as its bottom number

exis [7]

There are many different fractions that cannot be simplified with a 24 as the denominator! A few examples include:
1/24
5/24
7/24
33/24
107/24
Notice all of the numerators are prime.

3 0

4 years ago

What is the largest possible integral value in the domain of the real-valued function

kotegsom [21]

Answer:

Max Value: x = 400

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Calculus

Antiderivatives
Integral Property: $\int {cf(x)} \, dx = c\int {f(x)} \, dx$
Integration Method: U-Substitution
[Integration] Reverse Power Rule: $\int {x^n} \, dx = \frac{x^{n+1}}{n+1} + C$

Step-by-step explanation:

Step 1: Define

$f(x) = \frac{1}{\sqrt{800-2x} }$

Step 2: Identify Variables

Using U-Substitution, we set variables in order to integrate.

$u = 800-2x\\du = -2dx$

Step 3: Integrate

Define: $\int {f(x)} \, dx$
Substitute: $\int {\frac{1}{\sqrt{800-2x} } } \, dx$
[Integral] Int Property: $-\frac{1}{2} \int {\frac{-2}{\sqrt{800-2x} } } \, dx$
[Integral] U-Sub: $-\frac{1}{2} \int {\frac{1}{\sqrt{u} } } \, du$
[Integral] Rewrite: $-\frac{1}{2} \int {u^{-\frac{1}{2} }} \, du$
[Integral - Evaluate] Reverse Power Rule: $-\frac{1}{2}(2\sqrt{u}) + C$
Simplify: $-\sqrt{u} + C$
Back-Substitute: $-\sqrt{800-2x} + C$
Factor: $-\sqrt{-2(x - 400)} + C$

Step 4: Identify Domain

We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.

Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.

7 0

3 years ago

The formula to find the volume of a sphere is V=3.14r^3 where r is the

aniked [119]

divide by 3.14 on both sides first.

V/3.14 = r^3

Now cube root both sides.

3√(V/3.14) = r

r = 3√(V/3.14)

r is the cube root of v/3.14.

4 0

3 years ago

Seventy-two is what percent of 45?

Lemur [1.5K]

72% of 45 would be 32.4

4 0

3 years ago

Read 2 more answers